Search a number
-
+
40543146 = 2337283379
BaseRepresentation
bin1001101010101…
…0001110101010
32211021210202000
42122222032222
540334340041
64004551430
71001416410
oct232521652
984253660
1040543146
1120981736
12116b2576
138526b37
1455552b0
15385cbb6
hex26aa3aa

40543146 has 64 divisors (see below), whose sum is σ = 103603200. Its totient is φ = 11512368.

The previous prime is 40543141. The next prime is 40543159. The reversal of 40543146 is 64134504.

40543146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40543141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106785 + ... + 107163.

It is an arithmetic number, because the mean of its divisors is an integer number (1618800).

Almost surely, 240543146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40543146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51801600).

40543146 is an abundant number, since it is smaller than the sum of its proper divisors (63060054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40543146 is a wasteful number, since it uses less digits than its factorization.

40543146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40543146 is about 6367.3499982332. The cubic root of 40543146 is about 343.5361797097.

The spelling of 40543146 in words is "forty million, five hundred forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 283 378 379 566 758 849 1137 1698 1981 2274 2547 2653 3411 3962 5094 5306 5943 6822 7641 7959 10233 11886 15282 15918 17829 20466 23877 35658 47754 53487 71631 106974 107257 143262 214514 321771 643542 750799 965313 1501598 1930626 2252397 2895939 4504794 5791878 6757191 13514382 20271573 40543146